Electrical engineering, RLC circuit

In summary, the conversation discusses a series R, L, C circuit with values of R=5ohm, L=1H, and C=10uF. The output voltage is taken across R, and the input voltage has a variable frequency. The person is seeking help in obtaining a plot of V0(t) as a frequency f over a sufficiently large frequency band that is roughly bisected by the resonance frequency. The hint suggests that the resonant frequency of an LC circuit can be used to determine the frequency band to plot, starting with a couple of decades above and below the resonant frequency and adjusting if necessary.
  • #1
beanryu
92
0
Alright, here I come again for help!

In a series R, L, C circuit, the values of the passive elements are R=5ohm, L=1H, and C=10uF. The output voltage is taken across R, and te input voltage signal is of variable frequency. Using Electronics Workbench, obtain a plot of V0(t) as a frequency f over a sufficiently large frequency band which is roughly bisected by the resonance frequency.

Okay, all I don't get is "obtain a plot of V0(t) as a frequency f over a sufficiently large frequency band which is roughly bisected by the resonance frequency."
What is meant by "a sufficiently large frequency band which is roughly bisected by the resonance frequency."?

THANK YOU! THIS IS A TAke hoME QUIZ!
 
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  • #2
Hint -- the only things resonating in the circuit are the L & C, since the resistor cannot store energy. So what is the resonant frequency of an LC circuit? And for sufficiently large frequency band, start with a couple of decades above and below the resonant frequency, and pare it down if nothing interesting is happening outside +/1 one decade. Let us know what you find...
 
  • #3


I am happy to assist you with your question. It seems that you are being asked to plot the output voltage (V0) against the frequency (f) over a range of frequencies that includes the resonance frequency of the RLC circuit. The resonance frequency is the frequency at which the circuit exhibits maximum response, and it is typically found at the midpoint of the frequency range. Therefore, you need to plot V0 against f over a wide enough range so that the resonance frequency is roughly in the middle of the graph. This will allow you to see the behavior of the circuit at different frequencies, including its peak response at the resonance frequency. I hope this helps clarify the task for you. Good luck with your take-home quiz!
 

Related to Electrical engineering, RLC circuit

1. What is an RLC circuit?

An RLC circuit is a type of electrical circuit that has a resistor (R), inductor (L), and capacitor (C) connected in series or parallel. It is also known as a "resonant" or "tuned" circuit because it can be tuned to a specific frequency.

2. What is the purpose of an RLC circuit?

An RLC circuit has various applications, including filtering, oscillation, and amplification. It is commonly used in electronic devices such as radios, televisions, and audio equipment.

3. How does an RLC circuit work?

In an RLC circuit, the resistor restricts the flow of current, the inductor stores energy in the form of a magnetic field, and the capacitor stores energy in the form of an electric field. Together, these components create an oscillating current that can be used for different purposes.

4. What is resonance in an RLC circuit?

Resonance occurs in an RLC circuit when the natural frequency of the circuit matches the frequency of the input signal. This results in a large amplitude of oscillation and is used in tuning circuits to select a specific frequency.

5. How can I calculate the resonant frequency of an RLC circuit?

The resonant frequency of an RLC circuit can be calculated using the formula: fr = 1/(2π√(LC)), where fr is the resonant frequency, L is the inductance, and C is the capacitance. Alternatively, it can also be measured experimentally using an oscilloscope.

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